Cranston will play Trumbo while Mirren will play his wife, Cleo.
The film will be directed by Jay Roach while Michael London is producing it through his Groundswell Productions banner, along with Janice Williams and John McNamara, reported Variety.
Trumbo, considered one of the most successful screenwriters in Hollywood, faced trouble after he was blacklisted for refusing to testify before the House Un-American Activities Committee (HUAC) in 1947 during the committee's investigation of communist influences in the film industry.
He has since been credited for his work on 1960 films 'Exodus' and 'Spartacus'.
